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Finding the Third Proportional to 578,464 and 1,254,249

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Solution

The third proportional to 578,464 and 1,254,249 is: 2,719,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,464 : 1,254,249 = 1,254,249 : x
  2. Step 2: Convert to fraction form
    578,464/1,254,249 = 1,254,249/x
  3. Step 3: Cross multiply
    578,464x = 1,254,249 × 1,254,249
  4. Step 4: Simplify right side
    578,464x = 1,573,140,554,001
  5. Step 5: Solve for x
    x = 1,573,140,554,001/578,464
  6. Step 6: Final answer
    x = 2,719,513.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.